The Performance of Elliptic Curve Based Group Diffie-Hellman Protocols for Secure Group Communication over Ad Hoc Networks

The security of the two party Diffie-Hellman key exchange protocol is currently based on the discrete logarithm problem (DLP). However, it can also be built upon the elliptic curve discrete logarithm problem (ECDLP). Most proposed secure group communication schemes employ the DLP-based Diffie-Hellman protocol. This paper proposes the ECDLP-based Diffie-Hellman protocols for secure group communication and evaluates their performance on wireless ad hoc networks. The proposed schemes are compared at the same security level with DLP-based group protocols under different channel conditions. Our experiments and analysis show that the Tree-based Group Elliptic Curve Diffie-Hellman (TGECDH) protocol is the best in overall performance for secure group communication among the four schemes discussed in the paper. Low communication overhead, relatively low computation load and short packets are the main reasons for the good performance of the TGECDH protocol.

Development of an interview version of the Native American Cultural Involvement and Detachment Anxiety Questionnaire

The present study sought to develop and validate an interview version of the Native American Cultural Involvement and Detachment Anxiety Questionnaire (CIDAQ; McNeil, Porter, Zvolensky, Chaney, & Kee, 2000) in an effort to construct a more culturally appropriate means of obtaining anxiety-related information from a tribally homogenous sample of Native Americans. Five pilot subjects (60% women; M age = 35.8 years) and 50 Native American participants (46% women; M age = 40.32 years) residing on a Northern Plains reservation were administered the CIDAQ - Interview, designed specifically for this study, the Worry Domains Questionnaire (WDQ; Tallis, Eysenck, & Mathews, 1992), a measure of non-pathological worry, the CIDAQ (McNeil et al., 2000), a self-report measure of culturally-related anxiety, and a demographics form. Using a mixed design method of analysis, interviews were audio taped and data was both qualitatively and quantitatively compared for convergence and discrepancies across measures. As hypothesized, CIDAQ-Interview subscales corresponded with subscales from the CIDAQ self-report and included worries and anxiety in three content areas: (1) social involvement with Native Americans and cultural knowledge, (2) economic issues, and (3) social involvement with the majority culture. Results further revealed similarities between CIDAQ-Interview items and those on the CIDAQ self-report, indicating reliability for the Interview. Findings also confirmed the Interview's validity (r 's range = .349-.754), as well as a high level of internal consistency for the CIDAQ self-report (Cronbach alpha = .931). Data suggest the CIDAQ-Interview is a more culturally appropriate method of assessment and may be capable of assessing anxiety at a higher level of specificity then the self-report version. Results of the study are discussed in relation to the assessment of anxiety for homogenous reservation Native Americans, study limitations and directions for future research with the CIDAQ-Interview are also discussed.